Trying to include dimensions in inches in batch rename

I wrote some Photoshop and Bridge scripts for a similar task here:

https://community.adobe.com/t5/photoshop-ecosystem-discussions/script-to-add-image-size-to-description-field-to-include-in-printing-marks/td-p/14597499

The resolution info is easily removed and as Description isn't available in Batch Rename, the dimensions would need to be written to a different, unused field as suggested by @Lumigraphics (such as Headline or Title).

How would you wish to list the dimensions? One shouldn't use the " character in a filename, so in would be used instead. There can be problems using the period . character as well to separate sizes in filenames such as 5.5in, so a - hyphen would be safer i.e. 5-5in. How many decimal points would the dimension show?

Can you type out a before/after filename example?

Presumably you'd need a custom script to calculate and write the value into a metadata field, say Headline, and then use that in the Batch Rename dialog.